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Finding the Fourth Proportional to 157,151.88, 216,874.08 and 85,536.48

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Solution

The fourth proportional to 157,151.88, 216,874.08 and 85,536.48 is: 118,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,151.88 : 216,874.08 = 85,536.48 : x
  2. Step 2: Convert to fraction form
    157,151.88/216,874.08 = 85,536.48/x
  3. Step 3: Cross multiply
    157,151.88x = 216,874.08 × 85,536.48
  4. Step 4: Simplify right side
    157,151.88x = 18,550,645,406.44
  5. Step 5: Solve for x
    x = 18,550,645,406.44/157,151.88
  6. Step 6: Final answer
    x = 118,042.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.